Singular solutions of the \(p\)-Laplace equation
type: Item
instance of: scholarly article
title: Singular solutions of the \(p\)-Laplace equation
zbMATH Open document ID: 0592.35031
DOI: 10.1007/BF01459140
author: Satyanad Kichenassamy
author: Laurent Véron
published in: Mathematische Annalen
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/164173
review text: This paper deals with the study of isolated singularities of solutions of the \(p\)-Laplace equation \[ \mathop{div}(| \nabla u|^{p-2} \nabla u)=0 \tag{1} \] and extends some previous well known results of \textit{J. Serrin} [Acta. Math. 111, 247--302 (1964; Zbl 0128.09101), 113, 219--240 (1965; Zbl 0173.39202)]. Correction see Zbl 0653.35018.
reviewed by: Satyanad Kichenassamy
Mathematics Subject Classification ID: 35J92
Mathematics Subject Classification ID: 35J30
Mathematics Subject Classification ID: 35B65
zbMATH DE Number: 3951084
zbMATH Keywords: isolated singularities
zbMATH Keywords: p-Laplace equation
MaRDI profile type: Publication
cites work: C1 + α local regularity of weak solutions of degenerate elliptic equations
cites work: Analytical foundations of the theory of quasiconformal mappings in R^n
cites work: Q3700126
cites work: Elliptic partial differential equations of second order
cites work: On the behavior of the solutions of a quasilinear equation near null salient points of the boundary
cites work: Linear and quasilinear elliptic equations
cites work: Smoothness of Certain Degenerate Elliptic Equations
cites work: Q3216972
cites work: Local behavior of solutions of quasi-linear equations
cites work: Isolated singularities of solutions of quasi-linear equations
cites work: Q5528839
cites work: On The Dirichletproblem for Quasilinear Equations
cites work: Regularity for a class of nonlinear elliptic systems
Recommended article: Singular solutions of the p-Laplace equation
Recommended article: Singular solutions to \(p\)-Laplacian type equations
Recommended article: Q3435500
Recommended article: Solutions for singular \(p\)-Laplacian equation in \(R^{n}\)
Recommended article: Singular solutions of a \(p\)-Laplace equation involving the gradient
Recommended article: Singular solutions of nonlinear differential equations with \(p(t)\)-Laplacian
Recommended article: Singular boundary value problems for P-Laplacian-like equations
Recommended article: Solutions for a singular elliptic problem involving the p(x)-Laplacian
Recommended article: Singular boundary value problems for the \(p\)-Laplacian
Recommended article: On the existence of entire solutions of a singular \(p\)-Laplace equation
description: scientific article; zbMATH DE number 3951084